What is the Least Common Multiple of 53484 and 53500?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 53484 and 53500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53484 and 53500, than apply into the LCM equation.

GCF(53484,53500) = 4
LCM(53484,53500) = ( 53484 × 53500) / 4
LCM(53484,53500) = 2861394000 / 4
LCM(53484,53500) = 715348500

Least Common Multiple (LCM) of 53484 and 53500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53484 and 53500. First we will calculate the prime factors of 53484 and 53500.

Prime Factorization of 53484

Prime Factorization of 53500

Now multiplying the highest exponent prime factors to calculate the LCM of 53484 and 53500.

LCM(53484,53500) = 2² × 3¹ × 4457¹ × 5³ × 107¹
LCM(53484,53500) = 715348500